کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1137483 | 1489172 | 2010 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Evolution inclusions with Clarke subdifferential type in Hilbert space
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Evolution inclusions with Clarke subdifferential type in Hilbert space Evolution inclusions with Clarke subdifferential type in Hilbert space](/preview/png/1137483.png)
چکیده انگلیسی
In this paper we mainly consider the following evolution inclusion with Clarke subdifferential: (â){âxÌ(t)ââcÏ(x(t))+G(t,x(t))x(0)=x0 where âc is the Clarke subdifferential and tâI=[0,T] is a nonempty, bounded closed interval in R+=[0,+â); H is a separable Hilbert space; x0âD(âcÏ)={xâH:âcÏ(x)â Ï}. First, we introduce some hypotheses on Ï, under which we prove that there is a unique solution of (â) when G is a single function. Based on this result, we obtain an existence theorem for G being a u.s.c. or l.s.c multifunction. Then the existence of an extremal solution of (â) and the relaxation theorem are studied. In the end, we present two examples of PDE to illustrate the application of our results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 51, Issues 5â6, March 2010, Pages 550-561
Journal: Mathematical and Computer Modelling - Volume 51, Issues 5â6, March 2010, Pages 550-561
نویسندگان
Sitian Qin, Xiaoping Xue,